ASVAB Math Knowledge Practice Test 924722 Results

Your Results Global Average
Questions 5 5
Correct 0 3.01
Score 0% 60%

Review

1

Which of the following statements about parallel lines with a transversal is not correct?

36% Answer Correctly

all acute angles equal each other

angles in the same position on different parallel lines are called corresponding angles

same-side interior angles are complementary and equal each other

all of the angles formed by a transversal are called interior angles


Solution

Parallel lines are lines that share the same slope (steepness) and therefore never intersect. A transversal occurs when a set of parallel lines are crossed by another line. All of the angles formed by a transversal are called interior angles and angles in the same position on different parallel lines equal each other (a° = w°, b° = x°, c° = z°, d° = y°) and are called corresponding angles. Alternate interior angles are equal (a° = z°, b° = y°, c° = w°, d° = x°) and all acute angles (a° = c° = w° = z°) and all obtuse angles (b° = d° = x° = y°) equal each other. Same-side interior angles are supplementary and add up to 180° (e.g. a° + d° = 180°, d° + c° = 180°).


2

The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?

68% Answer Correctly

2lw x 2wh + 2lh

h x l x w

h2 x l2 x w2

lw x wh + lh


Solution

A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.


3

A(n) __________ is two expressions separated by an equal sign.

77% Answer Correctly

equation

problem

formula

expression


Solution

An equation is two expressions separated by an equal sign. The key to solving equations is to repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.


4

Order the following types of angle from least number of degrees to most number of degrees.

75% Answer Correctly

right, obtuse, acute

acute, obtuse, right

right, acute, obtuse

acute, right, obtuse


Solution

An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.


5

Solve for x:
-9x + 1 < \( \frac{x}{-6} \)

44% Answer Correctly
x < \(\frac{14}{43}\)
x < -\(\frac{7}{10}\)
x < \(\frac{6}{53}\)
x < -\(\frac{40}{73}\)

Solution

To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the < sign and the answer on the other.

-9x + 1 < \( \frac{x}{-6} \)
-6 x (-9x + 1) < x
(-6 x -9x) + (-6 x 1) < x
54x - 6 < x
54x - 6 - x < 0
54x - x < 6
53x < 6
x < \( \frac{6}{53} \)
x < \(\frac{6}{53}\)